Which is the correct form of the alternative hypothesis for a test ANOVA when th

Question

Which is the correct form of the alternative hypothesis for a test ANOVA when there are four samples, each taken from a different population of hypothesis using one-way b) Ha: At least two of the population means are different d) Ha: At least two of the sample means are different tion of service times at three different fast food restaurants. A test of hypothesis using one-way ANOVA results in net rejecting &. Suppose that three samples are taken, each from a different populat the null hypothesis. Then you should conclude a) There is sufficient evidence that at least two of the restaurants have different population mean service times b) c) d) There is sufficient evidence that each restaurant has a population mean service time different from either of the other two There is not sufficient evidence that any of the restaurants has a population mean service time different from the others The test is inappropriate because at least four samples are required for ANOVA testing J9. Suppose that an ANOVA test of hypothesis results in rejection of the null hypothesis using a o.os examine the 95% confidence intervals for two of the population means and find them to be: (23, 35 ) and (39, 51 ). Your conclusion should be a) These two b) population means appear to be different and thus contributed to the rejection These two population means do not appear to be different and thus did not contribute to the rejection c) These two population means are exactly the same d) You cannot conclude anything from these two confidence intervals J 10. Which is true about the value of the test statistic that is used for one-way ANOVA? a) It cannot be a negative number b) It must be between 0 and 1 inclusive c) It is always greater than 1 d) It can be any number, whether negative, zero, or positive 11. In a test of hypothesis using one-way ANOVA, the greater the difference between sample means a) The greater will be the value of the test statistic b) The smaller will be the p-value of the test statistic c) The more likely you are to reject the null hypothesis d) All of the above Page 2 of 8

Explanation / Answer

Which is the correct form of the alternative hypothesis for a test ANOVA when there are four samples, each taken from a different population of hypothesis using one-way b) Ha: At least two of the population means are different d) Ha: At least two of the sample means are different tion of service times at three different fast food restaurants. A test of hypothesis using one-way ANOVA results in net rejecting &. Suppose that three samples are taken, each from a different populat the null hypothesis. Then you should conclude a) There is sufficient evidence that at least two of the restaurants have different population mean service times b) c) d) There is sufficient evidence that each restaurant has a population mean service time different from either of the other two There is not sufficient evidence that any of the restaurants has a population mean service time different from the others The test is inappropriate because at least four samples are required for ANOVA testing J9. Suppose that an ANOVA test of hypothesis results in rejection of the null hypothesis using a o.os examine the 95% confidence intervals for two of the population means and find them to be: (23, 35 ) and (39, 51 ). Your conclusion should be a) These two b) population means appear to be different and thus contributed to the rejection These two population means do not appear to be different and thus did not contribute to the rejection c) These two population means are exactly the same d) You cannot conclude anything from these two confidence intervals J 10. Which is true about the value of the test statistic that is used for one-way ANOVA? a) It cannot be a negative number b) It must be between 0 and 1 inclusive c) It is always greater than 1 d) It can be any number, whether negative, zero, or positive 11. In a test of hypothesis using one-way ANOVA, the greater the difference between sample means a) The greater will be the value of the test statistic b) The smaller will be the p-value of the test statistic c) The more likely you are to reject the null hypothesis d) All of the above Page 2 of 8

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